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1136312136311 = 11210193919901
BaseRepresentation
bin10000100010010001011…
…110110011001001110111
311000122000112202102022012
4100202101132303021313
5122104131401330221
62230003052354435
7145044605536112
oct20422136631167
94018015672265
101136312136311
113a89a8639500
12164284775a1b
13831ccac5c71
143cdd7d73579
151e85881c65b
hex108917b3277

1136312136311 has 24 divisors (see below), whose sum is σ = 1261632356544. Its totient is φ = 1022571000000.

The previous prime is 1136312136301. The next prime is 1136312136319.

1136312136311 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1136312136311 - 238 = 861434229367 is a prime.

It is a super-2 number, since 2×11363121363112 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1136312136319) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 114762461 + ... + 114772361.

It is an arithmetic number, because the mean of its divisors is an integer number (52568014856).

Almost surely, 21136312136311 is an apocalyptic number.

1136312136311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1136312136311 is a deficient number, since it is larger than the sum of its proper divisors (125320220233).

1136312136311 is a wasteful number, since it uses less digits than its factorization.

1136312136311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19415 (or 19404 counting only the distinct ones).

The product of its digits is 5832, while the sum is 32.

The spelling of 1136312136311 in words is "one trillion, one hundred thirty-six billion, three hundred twelve million, one hundred thirty-six thousand, three hundred eleven".

Divisors: 1 11 101 121 1111 9391 9901 12221 103301 108911 948491 1000001 1136311 1198021 10433401 11000011 92980291 114767411 121000121 1022783201 9391009391 11250615211 103301103301 1136312136311